Question

In given figure,Ray OE bisects <AOB and OF is a ray opposite to OE. show that <FOB=<FOA​

Answer 1

Answer:

1) Ray OE bisectsAOB and OF is a ray opposite to OE . Show that FOB = FOA

2)Lines AB , CD and EF intersect at O . find the measures of AOC , COF , DOE and BOF

Given that OE bisects angle AOB

∴, angle AOE=angle EOB

Let it be x,

angle AOE=angle EOB=x

Here OF and OE form a straight line.

So, angle is 180°.

angle FOA+angle AOE=180°

angle FOB+angle BOE=180°

∴, angle FOA+angle AOE=angle FOB+angle BOE

    ⇒angle FOA=angle FOB          (∵angle AOE=angle BOE)

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